# Set Theory and Algebra MCQ - Sets

16:

In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all ?

 A. 18 B. 36 C. 24 D. None of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
17:

Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a ∈ A and b ∈ B ?

 A. p2 B. p x q C. p + q D. 2 pq Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
18:

The set of all Equivalence classes of a set A of cardinality C

 A. has the same cardinality as A B. forms a partition of A C. is of cardinality 2C D. is of cardinality C2 Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here:
19:

Let Z denote the set of all integers.
Define f : Z —> Z by
f(x) = {x / 2 (x is even)
0     (x is odd)
then f is

 A. onto but not one-one B. one-one but not onto C. one-one and onto D. neither one-one nor-onto Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
20:

Let R be a relation "(x -y) is divisible by m", where x, y, m are integers and m > 1, then R is

 A. symmetric but not transitive B. partial order C. equivalence relation D. anti symmetric and not transitive Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:

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